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Finding the Fourth Proportional to 510, 764.84 and 185.28

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Solution

The fourth proportional to 510, 764.84 and 185.28 is: 277.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    510 : 764.84 = 185.28 : x
  2. Step 2: Convert to fraction form
    510/764.84 = 185.28/x
  3. Step 3: Cross multiply
    510x = 764.84 × 185.28
  4. Step 4: Simplify right side
    510x = 141,709.56
  5. Step 5: Solve for x
    x = 141,709.56/510
  6. Step 6: Final answer
    x = 277.86

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